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**About this book :- **
**Advanced Calculus of Several Variables ** written by
** Henry Edwards **.

This book has developed from junior–senior level advanced calculus courses that I have taught during the past several years. It was motivated by a desire to provide a modern conceptual treatment of multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones, while at the same time giving equal attention to the classical applications and computational methods that are responsible for much of the interest and importance of this subject.

In addition to a satisfactory treatment of the theory of functions of several variables, the reader will (hopefully) find evidence of a healthy devotion to matters of exposition as such—for example, the extensive inclusion of motivational and illustrative material and applications that is intended to make the subject attractive and accessible to a wide range of “typical” science and mathematics students. The many hundreds of carefully chosen examples, problems, and figures are one result of this expository effort.

This book is intended for students who have completed a standard introductory calculus sequence. A slightly faster pace is possible if the students' first course included some elementary multivariable calculus (partial derivatives and multiple integrals). However this is not essential, since the treatment here of multivariable calculus is fully self-contained.

(Henry Edwards)

**Book Detail :- **
** Title: **Advanced Calculus of Several Variables
** Edition: ** 5th
** Author(s): ** Charlas Henry Edwards
** Publisher: ** Dover Publications
** Series: ** Dover books on advanced mathematics
** Year: ** 1994
** Pages: ** 571
** Type: ** PDF
** Language: ** English
** ISBN: ** 0-486-68336-2,978-0-486-68336-2
** Country: ** US
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**About Author :- **

The author ** Dean G Duffy ** received his bachelor of science in geophysics from Case Institute of Technology (Cleveland, Ohio) and his doctorate of science in meteorology from the Massachusetts Institute of Technology (Cambridge, Massachusetts).

He served in the United States Air Force from September 1975 to December 1979 as a numerical weather prediction officer. After his military service, he began a twenty-five year (1980 to 2005) association with NASA at the Goddard Space Flight Center (Greenbelt, Maryland) where he focused on numerical weather prediction, oceanic wave modeling and dynamical meteorology.

He also wrote papers in the areas of Laplace transforms, antenna theory, railroad tracks, and heat conduction. In addition to his NASA duties he taught engineering mathematics, differential equations and calculus at the United States Naval Academy (Annapolis, Maryland) and the United States Military Academy (West Point, New York). Drawing from his teaching experience, he has written several books on transform methods, engineering mathematics, Green’s functions and mixed boundary value problems.

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**Book Contents :- **
**Multivariable Calculus with Analytic Geometry (5E) ** written by
** Henry Edwards **
cover the following topics.
'

Preface

1. Euclidean Space and Linear Mappings

2. Multivariable Differential Calculus

3. Successive Approximations and Implicit Functions

4. Multiple Integrals

5. Line and Surface Integrals; Differential Forms and Stokes' Theorem

6. The Calculus of Variations

Appendix: The Completeness of

Suggested Reading

Subject Index

**Note:-**

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